{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Linearity measure applied to Iris\n",
    " \n",
    "## General definition\n",
    "\n",
    "The model linearity module in alibi provides metric to measure how linear an ML model is. Linearity is defined based on how much the linear superposition of the model's outputs differs from the output of the same linear superposition of the inputs. \n",
    "\n",
    "Given $N$ input vectors $v_i$, $N$ real coefficients $\\alpha_i$ and a predict function $\\text{M}(v_i)$, the linearity of the predict function is defined as\n",
    "\n",
    "$$L = \\Big|\\Big|\\sum_i \\alpha_i M(v_i) - M\\Big(\\sum_i \\alpha_i v_i\\Big) \\Big|\\Big| \\quad \\quad \\text{If M is a regressor}$$\n",
    "\n",
    "$$L = \\Big|\\Big|\\sum_i \\alpha_i \\log \\circ M(v_i) - \\log \\circ M\\Big(\\sum_i \\alpha_i v_i\\Big)\\Big|\\Big| \\quad \\quad \\text{If M is a classifier}$$\n",
    "\n",
    "Note that a lower value of $L$ means that the model $M$ is more linear.\n",
    "\n",
    "\n",
    "## Alibi implementation\n",
    "* Based on the general definition above, alibi calculates the linearity of a model in the neighboorhood of a given instance $v_0$. \n",
    "\n",
    "## Iris Data set\n",
    "* As an example, we will visualize the decision boundaries and the values of the linearity measure for various classifier on the iris dataset. Only 2 features are included for visualization porpuses."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This example will use the [xgboost](https://github.com/dmlc/xgboost) library, which can be installed with:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "!pip install xgboost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from sklearn.datasets import load_iris\n",
    "\n",
    "from sklearn.svm import SVC\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.neural_network import MLPClassifier\n",
    "from xgboost import XGBClassifier\n",
    "\n",
    "from alibi.confidence import LinearityMeasure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "ds = load_iris()\n",
    "X_train, y_train = ds.data[:, :2], ds.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "lins_dict = {}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Models\n",
    "We will experiment with 5 different classifiers:\n",
    "* A logistic regression model, which is expected to be highly linear.\n",
    "* A random forest classifier, which is expected to be higly non-linear.\n",
    "* An xgboost classifier.\n",
    "* A support vector machine classifier.\n",
    "* A feed forward neural network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "lr = LogisticRegression(fit_intercept=False, multi_class='multinomial', solver='newton-cg')\n",
    "rf = RandomForestClassifier(n_estimators=100)\n",
    "xgb = XGBClassifier(n_estimators=100)\n",
    "svm = SVC(gamma=.1, kernel='rbf', probability=True)\n",
    "nn = MLPClassifier(hidden_layer_sizes=(100,50), activation='relu', max_iter=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "lr.fit(X_train, y_train)\n",
    "rf.fit(X_train, y_train)\n",
    "xgb.fit(X_train, y_train)\n",
    "svm.fit(X_train, y_train)\n",
    "nn.fit(X_train, y_train);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Decision boundaries and linearity "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Creating a grid\n",
    "x_min, x_max = X_train[:, 0].min() - 1, X_train[:, 0].max() + 1\n",
    "y_min, y_max = X_train[:, 1].min() - 1, X_train[:, 1].max() + 1\n",
    "xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.1), np.arange(y_min, y_max, 0.1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Flattening points in the grid\n",
    "X = np.empty((len(xx.flatten()), 2))\n",
    "for i in range(xx.shape[0]):\n",
    "    for j in range(xx.shape[1]):\n",
    "        k = i * xx.shape[1] + j\n",
    "        X[k] = np.array([xx[i, j], yy[i, j]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Logistic regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Defining predict function for logistic regression\n",
    "clf = lr\n",
    "predict_fn = lambda x: clf.predict_proba(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculating linearity for all points in the grid\n",
    "lm = LinearityMeasure(agg='pairwise')\n",
    "lm.fit(X_train)\n",
    "L = lm.score(predict_fn, X)\n",
    "L = L.reshape(xx.shape)\n",
    "lins_dict['LR'] = L.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1152x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Decision boundaries (left panel) and linearity measure (right panel) for a logistic regression (LG) classifier in feature space. The x and y axis in the plots represent the sepal length and the sepal width, respectively.  Different colours correspond to different predicted classes. The markers represents the data points in the training set.\n",
      "Maximum value model linearity: 0.01841\n",
      "Minimum value model linearity: 0.0\n"
     ]
    }
   ],
   "source": [
    "# Visualising decision boundaries and linearity values \n",
    "f, axarr = plt.subplots(1, 2, sharex='col', sharey='row', figsize=(16, 8))\n",
    "idx = (0,0)\n",
    "Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "Z = Z.reshape(xx.shape)\n",
    "\n",
    "axarr[0].contourf(xx, yy, Z, alpha=0.4)\n",
    "axarr[0].scatter(X_train[:, 0], X_train[:, 1], c=y_train, s=20, edgecolor='k', alpha=1)\n",
    "axarr[0].set_title('Decision boundaries', fontsize=20)\n",
    "axarr[0].set_xlabel('sepal length (cm)',fontsize=18)\n",
    "axarr[0].set_ylabel('sepal width (cm)', fontsize=18)\n",
    "\n",
    "LPL = axarr[1].contourf(xx, yy, L, alpha=0.8, cmap='Greys')\n",
    "axarr[1].set_title('Model linearity', fontsize=20)\n",
    "axarr[1].set_xlabel('sepal length (cm)', fontsize=18)\n",
    "axarr[1].set_ylabel('sepal width (cm)', fontsize=18)\n",
    "cbar = f.colorbar(LPL)\n",
    "#cbar.ax.set_ylabel('Linearity')\n",
    "plt.show()\n",
    "print('Decision boundaries (left panel) and linearity measure (right panel) for a logistic regression (LG) classifier in feature space. The x and y axis in the plots represent the sepal length and the sepal width, respectively.  Different colours correspond to different predicted classes. The markers represents the data points in the training set.')\n",
    "print('Maximum value model linearity: {}'. format(np.round(L.max(), 5))) \n",
    "print(f'Minimum value model linearity: {np.round(L.min(),5)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Random forest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Defining predict function for random forest\n",
    "clf = rf\n",
    "predict_fn = lambda x: clf.predict_proba(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculating linearity for all points in the grid\n",
    "lm = LinearityMeasure(agg='pairwise')\n",
    "lm.fit(X_train)\n",
    "L = lm.score(predict_fn, X)\n",
    "L = L.reshape(xx.shape)\n",
    "lins_dict['RF'] = L.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Decision boundaries (left panel) and linearity measure (right panel) for a random forest (RF) classifier in feature space. The x and y axis in the plots represent the sepal length and the sepal width, respectively.  Different colours correspond to different predicted classes. The markers represents the data points in the training set.\n",
      "Maximum value model linearity: 12.07288\n",
      "Minimum value model linearity: 0.0\n"
     ]
    }
   ],
   "source": [
    "# Visualising decision boundaries and linearity values \n",
    "f, axarr = plt.subplots(1, 2, sharex='col', sharey='row', figsize=(16, 8))\n",
    "idx = (0,0)\n",
    "Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "Z = Z.reshape(xx.shape)\n",
    "\n",
    "axarr[0].contourf(xx, yy, Z, alpha=0.4)\n",
    "axarr[0].scatter(X_train[:, 0], X_train[:, 1], c=y_train, s=20, edgecolor='k', alpha=1)\n",
    "axarr[0].set_title('Decision boundaries', fontsize=20)\n",
    "axarr[0].set_xlabel('sepal length (cm)', fontsize=18)\n",
    "axarr[0].set_ylabel('sepal width (cm)', fontsize=18)\n",
    "\n",
    "LPL = axarr[1].contourf(xx, yy, L, alpha=0.8, cmap='Greys')\n",
    "axarr[1].set_title('Model linearity', fontsize=20)\n",
    "axarr[1].set_xlabel('sepal length (cm)', fontsize=18)\n",
    "axarr[1].set_ylabel('sepal width (cm)', fontsize=18)\n",
    "\n",
    "cbar = f.colorbar(LPL)\n",
    "plt.show()\n",
    "print('Decision boundaries (left panel) and linearity measure (right panel) for a random forest (RF) classifier in feature space. The x and y axis in the plots represent the sepal length and the sepal width, respectively.  Different colours correspond to different predicted classes. The markers represents the data points in the training set.')\n",
    "print('Maximum value model linearity: {}'. format(np.round(L.max(), 5))) \n",
    "print(f'Minimum value model linearity: {np.round(L.min(),5)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Xgboost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Defining predict function for xgboost\n",
    "clf = xgb\n",
    "predict_fn = lambda x: clf.predict_proba(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculating linearity for all points in the grid\n",
    "lm = LinearityMeasure(agg='pairwise')\n",
    "lm.fit(X_train)\n",
    "L = lm.score(predict_fn, X)\n",
    "L = L.reshape(xx.shape)\n",
    "lins_dict['XB'] = L.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Decision boundaries (left panel) and linearity measure (right panel) for a xgboost (XB) classifier in feature space. The x and y axis in the plots represent the sepal length and the sepal width, respectively.  Different colours correspond to different predicted classes. The markers represents the data points in the training set.\n",
      "Maximum value model linearity: 1.42648\n",
      "Minimum value model linearity: 0.0\n"
     ]
    }
   ],
   "source": [
    "# Visualising decision boundaries and linearity values \n",
    "f, axarr = plt.subplots(1, 2, sharex='col', sharey='row', figsize=(16, 8))\n",
    "idx = (0,0)\n",
    "Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "Z = Z.reshape(xx.shape)\n",
    "\n",
    "axarr[0].contourf(xx, yy, Z, alpha=0.4)\n",
    "axarr[0].scatter(X_train[:, 0], X_train[:, 1], c=y_train, s=20, edgecolor='k', alpha=1)\n",
    "axarr[0].set_title('Decision boundaries', fontsize=20)\n",
    "axarr[0].set_xlabel('sepal length (cm)', fontsize=20)\n",
    "axarr[0].set_ylabel('sepal width (cm)', fontsize=20)\n",
    "\n",
    "LPL = axarr[1].contourf(xx, yy, L, alpha=0.8, cmap='Greys')\n",
    "axarr[1].set_title('L measure', fontsize=20)\n",
    "axarr[1].set_xlabel('sepal length (cm)', fontsize=20)\n",
    "axarr[1].set_ylabel('sepal width (cm)', fontsize=20)\n",
    "\n",
    "cbar = f.colorbar(LPL)\n",
    "#cbar.ax.set_ylabel('Linearity')\n",
    "plt.show()\n",
    "print('Decision boundaries (left panel) and linearity measure (right panel) for a xgboost (XB) classifier in feature space. The x and y axis in the plots represent the sepal length and the sepal width, respectively.  Different colours correspond to different predicted classes. The markers represents the data points in the training set.')\n",
    "print('Maximum value model linearity: {}'. format(np.round(L.max(), 5))) \n",
    "print(f'Minimum value model linearity: {np.round(L.min(),5)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### SVM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Defining predict function for svm\n",
    "clf = svm\n",
    "predict_fn = lambda x: clf.predict_proba(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculating linearity for all points in the grid\n",
    "lm = LinearityMeasure(agg='pairwise')\n",
    "lm.fit(X_train)\n",
    "L = lm.score(predict_fn, X)\n",
    "L = L.reshape(xx.shape)\n",
    "lins_dict['SM'] = L.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Decision boundaries (left panel) and linearity measure (right panel) for a support vector machine (SM) classifier in feature space. The x and y axis in the plots represent the sepal length and the sepal width, respectively.  Different colours correspond to different predicted classes. The markers represents the data points in the training set.\n",
      "Maximum value model linearity: 0.45113\n",
      "Minimum value model linearity: 0.00083\n"
     ]
    }
   ],
   "source": [
    "# Visualising decision boundaries and linearity values \n",
    "f, axarr = plt.subplots(1, 2, sharex='col', sharey='row', figsize=(16, 8))\n",
    "idx = (0,0)\n",
    "Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "Z = Z.reshape(xx.shape)\n",
    "\n",
    "axarr[0].contourf(xx, yy, Z, alpha=0.4)\n",
    "axarr[0].scatter(X_train[:, 0], X_train[:, 1], c=y_train, s=20, edgecolor='k', alpha=1)\n",
    "axarr[0].set_title('Decision boundaries', fontsize=20)\n",
    "axarr[0].set_xlabel('sepal length (cm)', fontsize=18)\n",
    "axarr[0].set_ylabel('sepal width (cm)', fontsize=18)\n",
    "\n",
    "LPL = axarr[1].contourf(xx, yy, L, alpha=0.8, cmap='Greys')\n",
    "axarr[1].set_title('Model linearity', fontsize=20)\n",
    "axarr[1].set_xlabel('sepal length (cm)', fontsize=18)\n",
    "axarr[1].set_ylabel('sepal width (cm)', fontsize=18)\n",
    "\n",
    "cbar = f.colorbar(LPL)\n",
    "#cbar.ax.set_ylabel('Linearity')\n",
    "plt.show()\n",
    "print('Decision boundaries (left panel) and linearity measure (right panel) for a support vector machine (SM) classifier in feature space. The x and y axis in the plots represent the sepal length and the sepal width, respectively.  Different colours correspond to different predicted classes. The markers represents the data points in the training set.')\n",
    "print('Maximum value model linearity: {}'. format(np.round(L.max(), 5))) \n",
    "print(f'Minimum value model linearity: {np.round(L.min(),5)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### NN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Defining predict function for svm\n",
    "clf = nn\n",
    "predict_fn = lambda x: clf.predict_proba(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Calculating linearity for all points in the grid\n",
    "lm = LinearityMeasure(agg='pairwise')\n",
    "lm.fit(X_train)\n",
    "L = lm.score(predict_fn, X)\n",
    "L = L.reshape(xx.shape)\n",
    "lins_dict['NN'] = L.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x576 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Decision boundaries (left panel) and linearity measure (right panel) for a feed forward neural network classifier (NN) classifier in feature space. The x and y axis in the plots represent the sepal length and the sepal width, respectively.  Different colours correspond to different predicted classes. The markers represents the data points in the training set.\n",
      "Maximum value model linearity: 0.11615\n",
      "Minimum value model linearity: 3e-05\n"
     ]
    }
   ],
   "source": [
    "# Visualising decision boundaries and linearity values \n",
    "f, axarr = plt.subplots(1, 2, sharex='col', sharey='row', figsize=(16, 8))\n",
    "idx = (0,0)\n",
    "Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "Z = Z.reshape(xx.shape)\n",
    "\n",
    "axarr[0].contourf(xx, yy, Z, alpha=0.4)\n",
    "axarr[0].scatter(X_train[:, 0], X_train[:, 1], c=y_train, s=20, edgecolor='k', alpha=1)\n",
    "axarr[0].set_title('Decision boundaries', fontsize=20)\n",
    "axarr[0].set_xlabel('sepal length (cm)', fontsize=18)\n",
    "axarr[0].set_ylabel('sepal width (cm)', fontsize=18)\n",
    "\n",
    "LPL = axarr[1].contourf(xx, yy, L, alpha=0.8, cmap='Greys')\n",
    "axarr[1].set_title('Model linearity', fontsize=20)\n",
    "axarr[1].set_xlabel('sepal length (cm)', fontsize=18)\n",
    "axarr[1].set_ylabel('sepal width (cm)', fontsize=18)\n",
    "\n",
    "cbar = f.colorbar(LPL)\n",
    "#cbar.ax.set_ylabel('Linearity')\n",
    "plt.show()\n",
    "print('Decision boundaries (left panel) and linearity measure (right panel) for a feed forward neural network classifier (NN) classifier in feature space. The x and y axis in the plots represent the sepal length and the sepal width, respectively.  Different colours correspond to different predicted classes. The markers represents the data points in the training set.')\n",
    "print('Maximum value model linearity: {}'. format(np.round(L.max(), 5))) \n",
    "print(f'Minimum value model linearity: {np.round(L.min(),5)}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Average linearity over the whole feature space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Comparison of the linearity measure L averaged over the whole feature space for various models trained on the iris dataset: random forest (RF), xgboost (XB), support vector machine (SM), neural network (NN) and logistic regression (LR). Note that the scale of the X axis is logarithmic.\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = pd.Series(data=lins_dict).sort_values().plot(kind='barh', figsize=(10,5), fontsize=20, color='dimgray', \n",
    "                                                  width=0.8, logx=True)\n",
    "ax.set_xlabel('L measure (log scale)', fontsize=20)\n",
    "print('Comparison of the linearity measure L averaged over the whole feature space for various models trained on the iris dataset: random forest (RF), xgboost (XB), support vector machine (SM), neural network (NN) and logistic regression (LR). Note that the scale of the X axis is logarithmic.')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
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